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Finding the Fourth Proportional to 1,091.54, 1,504.50 and 741.62

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Solution

The fourth proportional to 1,091.54, 1,504.50 and 741.62 is: 1,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.54 : 1,504.50 = 741.62 : x
  2. Step 2: Convert to fraction form
    1,091.54/1,504.50 = 741.62/x
  3. Step 3: Cross multiply
    1,091.54x = 1,504.50 × 741.62
  4. Step 4: Simplify right side
    1,091.54x = 1,115,767.29
  5. Step 5: Solve for x
    x = 1,115,767.29/1,091.54
  6. Step 6: Final answer
    x = 1,022.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.